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Find the equation of a circle passing th...

Find the equation of a circle passing through the origin if the line pair, xy - 3x + 2y -6 = 0 is orthogonal to it. If this circle is orthogonal to the circle `x^2 + y^2 - kx + 2ky - 8 = 0` then find the value of k.

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The correct Answer is:
`x^(2) + y^(2) + 4x - 6y = 0; k = 1`
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MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. Find the equation of the circle through the points of intersection of ...

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  2. The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts o...

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  3. Find the equation of a circle passing through the origin if the line p...

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  4. Find the equation of the circle which cuts the circle x^2 + y^2 - 14x...

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  5. The locus of the centers of the circles which cut the circles x^(2) + ...

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  6. The equation of a circle which touches the line x +y= 5 at N(-2,7) and...

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  7. Find the equation of the circle passing through the point (– 6, 0) if ...

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  8. Find the equation of the circle which passes through the origin, meets...

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  9. Determine the nature of the quadrilateral formed by four lines 3x+4y ...

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  10. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

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  11. One of the diameters of the circle circumscribing the rectangle ABCD i...

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  12. Find the equations of straight lines which pass through the intersecti...

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  13. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  14. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  15. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  16. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  17. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  18. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  19. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  20. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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